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Finding the Fourth Proportional to 6,515.70, 9,774.56 and 2,132.11

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Solution

The fourth proportional to 6,515.70, 9,774.56 and 2,132.11 is: 3,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.70 : 9,774.56 = 2,132.11 : x
  2. Step 2: Convert to fraction form
    6,515.70/9,774.56 = 2,132.11/x
  3. Step 3: Cross multiply
    6,515.70x = 9,774.56 × 2,132.11
  4. Step 4: Simplify right side
    6,515.70x = 20,840,437.12
  5. Step 5: Solve for x
    x = 20,840,437.12/6,515.70
  6. Step 6: Final answer
    x = 3,198.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.